prikaz prve stranice dokumenta Many-hole interactions and the average lifetimes of chaotic transients that precede controlled periodic motion
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Scientific paper - Original scientific paper
Many-hole interactions and the average lifetimes of chaotic transients that precede controlled periodic motion
Physical Review E, 63 (2001), 6; 66205-13. https://doi.org/10.1103/PhysRevE.63.066205
Buljan, Hrvoje; Paar, Vladimir

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Buljan, H. & Paar, V. (2001). Many-hole interactions and the average lifetimes of chaotic transients that precede controlled periodic motion. Physical Review E, 63. (6), 66205-13. doi: 10.1103/PhysRevE.63.066205

Buljan, Hrvoje and Vladimir Paar. "Many-hole interactions and the average lifetimes of chaotic transients that precede controlled periodic motion." Physical Review E, vol. 63, no. 6, 2001, pp. 66205-13. https://doi.org/10.1103/PhysRevE.63.066205

Buljan, Hrvoje and Vladimir Paar. "Many-hole interactions and the average lifetimes of chaotic transients that precede controlled periodic motion." Physical Review E 63, no. 6 (2001): 66205-13. https://doi.org/10.1103/PhysRevE.63.066205

Buljan, H. and Paar, V. (2001) 'Many-hole interactions and the average lifetimes of chaotic transients that precede controlled periodic motion', Physical Review E, 63(6), pp. 66205-13. doi: 10.1103/PhysRevE.63.066205

Buljan H, Paar V. Many-hole interactions and the average lifetimes of chaotic transients that precede controlled periodic motion. Physical Review E [Internet]. 2001 [cited 2024 December 15];63(6):66205-13. doi: 10.1103/PhysRevE.63.066205

H. Buljan and V. Paar, "Many-hole interactions and the average lifetimes of chaotic transients that precede controlled periodic motion", Physical Review E, vol. 63, no. 6, pp. 66205-13, 2001. [Online]. Available at: https://urn.nsk.hr/urn:nbn:hr:217:646639. [Accessed: 15 December 2024]

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Metadata
Title (english)Many-hole interactions and the average lifetimes of chaotic transients that precede controlled periodic motion
AuthorHrvoje Buljan
AuthorVladimir Paar
Author's institutionUniversity of Zagreb
Faculty of Science
(Department of Physics)
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Abstract (english)
We consider n small regions (referred to as the holes) on a chaotic attractor and study the average lifetime it takes for a randomly initiated trajectory to land in their union. The holes are thought of as n possible escape routes for the trajectory. The escape route through one of the holes may be considerably reduced by other holes, depending on their positions. This effect, referred to as shadowing, can significantly prolong the average lifetime. The main result of this paper is the construction and analysis (numerical and theoretical) of the many-hole interactions. They are interpreted as the amount of shadowing between the holes. The “effective range” of these interactions is associated with the largest Lyapunov exponent. The shadowing effect is shown to be very large when the holes are located on n points of an unstable periodic orbit. Considerable attention is paid to this case since it is of interest to the field of controlling chaos.
Keywords (english)
Languageenglish
Publication typeScientific paper - Original scientific paper
Publication statusPublished
Peer reviewPeer review - international
Publication versionPublished version
Journal titlePhysical Review E
Numberingvol. 63, no. 6, pp. 66205-13
p-ISSN1539-3755
DOIhttps://doi.org/10.1103/PhysRevE.63.066205
URN:NBNurn:nbn:hr:217:646639
Publication2001
Document URLhttp://link.aps.org/doi/10.1103/PhysRevE.63.066205
Type of resourceText
Access conditionsOpen access
Terms of useLicence In copyright icon
Public noteCopyright (2001) by the American Physical Society.
Created on2019-10-11 15:07:07